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You'd need to check what the ball weight of the camper is. If it's a forward fold, the ball weight could be around 200kg loaded.
Not sure what the tow ratings are for my sg forester, but if i hooked up our forward fold to it i reckon it would pull the arse out of the forrester.
Greensuby

That must be some trailer. My camper is no lightweight at 750ish kg loaded. I would definitely recommend electric brakes if the trailer has them. And if not, get them fitted somehow. When you are going down steep dirt tracks you wouldn't want to have anything else. Also can help stabilise the trailer if you get swaying. Get a sump guard, and with that low mounted turbo, be mindful at water crossings what cold water will do to a stove hot turbo. I would be interested to know what the argument against a cooler is. What model of camper trailer did you get?

I've got a 2015 2.5 CVT and tow both my camper trailer (750kg) and boat (1300kg) with it no problems. I've towed both long distances including dragging the boat up to Lake Eildon in summer and never had any trouble with the CVT. I usually use S mode when towing the boat to increase engine breaking on down hills and improve throttle response. But that said the usual rules apply, take it easy.